6 citations · 17 across the 15 of their papers we have counts for
15 papers
Topology Understanding of B-Spline Surface/Surface Intersection with Mapper
Chenming Gao, Hongwei Lin, Gengchen Li
In the realm of computer-aided design (CAD) software, the intersection of B-spline surfaces stands as a fundamental operation. Despite the extensive history of surface intersection…
Quantum Signal Processing and Quantum Singular Value Transformation on
Xi Lu, Yuan Liu, Hongwei Lin
Quantum signal processing and quantum singular value transformation are powerful tools to implement polynomial transformations of block-encoded matrices on quantum computers, and h…
Reasonable thickness determination for implicit porous sheet structure using persistent homology
Jiacong Yan, Hongwei Lin
Porous structures are widely used in various industries because of their excellent properties. Porous surfaces have no thickness and should be thickened to sheet structures for fur…
Functional Network: A Novel Framework for Interpretability of Deep Neural Networks
Ben Zhang, Zhetong Dong, Junsong Zhang +1
The layered structure of deep neural networks hinders the use of numerous analysis tools and thus the development of its interpretability. Inspired by the success of functional bra…
Stochastic Geometric Iterative Method for Loop Subdivision Surface Fitting
Chenkai Xu, Yaqi He, Hui Hu +1
In this paper, we propose a stochastic geometric iterative method to approximate the high-resolution 3D models by finite Loop subdivision surfaces. Given an input mesh as the fitti…
Manifold Feature Index: A novel index based on high-dimensional data simplification
Chenkai Xu, Hongwei Lin, Xuansu Fang
In this paper, we propose a novel stock index model, namely the manifold feature(MF) index, to reflect the overall price activity of the entire stock market. Based on the theory of…
High-Dimensional Data Set Simplification by Laplace-Beltrami Operator
Chenkai Xu, Hongwei Lin
With the development of the Internet and other digital technologies, the speed of data generation has become considerably faster than the speed of data processing. Because big data…
Implicit Progressive-Iterative Approximation for Curve and Surface Reconstruction
Yusuf Fatihu Hamza, Hongwei Lin, Zihao Li
Implicit curve and surface reconstruction attracts the attention of many researchers and gains a wide range of applications, due to its ability to describe objects with complicated…
Persistence B-Spline Grids: Stable Vector Representation of Persistence Diagrams Based on Data Fitting
Zhetong Dong, Hongwei Lin, Chi Zhou
Many attempts have been made in recent decades to integrate machine learning (ML) and topological data analysis. A prominent problem in applying persistent homology to ML tasks is…
Heterogeneous porous scaffold generation in trivariate B-spline solid with triply periodic minimal surface in the parametric domain
Chuanfeng Hu, Hongwei Lin
A porous scaffold is a three-dimensional network structure composed of a large number of pores, and triply periodic minimal surfaces (TPMSs) are one of conventional tools for desig…
Gregory Solid Construction for Polyhedral Volume Parameterization by Sparse Optimization
Chuanfeng Hu, Hongwei Lin
In isogeometric analysis, it is frequently required to handle the geometric models enclosed by four-sided or non-four-sided boundary patches, such as trimmed surfaces. In this pape…
Constructing Trivariate B-splines with Positive Jacobian by Pillow Operation and Geometric Iterative Fitting
Hongwei Lin, Hao Huang, Chuanfeng Hu
The advent of isogeometric analysis has prompted a need for methods to generate Trivariate B-spline Solids (TBS) with positive Jacobian. However, it is difficult to guarantee a pos…
The Convergence of Least-Squares Progressive Iterative Approximation with Singular Iterative Matrix
Hongwei Lin, Qi Cao, Xiaoting Zhang
Developed in [Deng and Lin, 2014], Least-Squares Progressive Iterative Approximation (LSPIA) is an efficient iterative method for solving B-spline curve and surface least-squares f…
The Convergence Rate and Necessary-and-Sufficient Condition for the Consistency of Isogeometric Collocation Method
Hongwei Lin, Yunyang Xiong, Qianqian Hu
Although the isogeometric collocation (IGA-C) method has been successfully utilized in practical applications due to its simplicity and efficiency, only a little theoretical result…
Isogeometric Least-squares Collocation Method with Consistency and Convergence Analysis
Hongwei Lin, Yunyang Xiong, Xiao Wang +1
In this paper, we present the isogeometric least-squares collocation (IGA-L) method, which determines the numerical solution by making the approximate differential operator fit the…